Fractional order differential equations on an unbounded domain. (English) Zbl 1179.26015

Summary: We are concerned with the existence of bounded solutions of a boundary value problem on an unbounded domain for differential equations involving the Caputo fractional derivative. Our results are based on a fixed point theorem of Schauder combined with the diagonalization method.


26A33 Fractional derivatives and integrals
26A42 Integrals of Riemann, Stieltjes and Lebesgue type
34B15 Nonlinear boundary value problems for ordinary differential equations
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